VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 1,669 indexed questions and parts.
Section B, Question 5(a)(ii)Question part (a)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. Find P. 2 marks The magnitude of the tension in the horizontal string is changed to T newtons. As a result, the mass accelerates up the inclined plane at g 4 ms−2.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · DifficultAverage marks: 35% of available · official reportFull marks: 29% of students · official report
b. Find the shortest distance from point B to the line segment AC. 2 marks A second plane, ψ, has the Cartesian equation 2x − 2y − z = −18.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5(b)Question part (b)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
b. Find T in terms of g. 2 marks 21 2023 SPECMATH EXAM 2 (NHT) d o n o t w r i t e i n t h i s a r e a TURN OVER
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
c. After travelling 2 m up the inclined plane, the mass is at the top of the plane. At this instant the mass leaves the inclined plane, the string is released and the mass travels
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(c)Question part (c)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 50% of students · official report
c. At what acute angle does the line given by r i j k i j k ( ) , t t t R 3 2 4 2 2 , intersect the plane ψ? Give your answer in degrees correct to the nearest degree
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5(c)(i)Question part (c)(i)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
i. Show that the speed of the mass at the instant that it leaves the top of the plane is g ms−1. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(c)(ii)Question part (c)(ii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
ii. The top of the inclined plane is 1.5 m vertically above the horizontal ground. Find the maximum height above the ground, in metres, reached by the mass as it travels through th
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(c)(iii)Question part (c)(iii)
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Easy
iii. Find the speed of the mass, in ms−1, when it hits the ground. Give your answer in terms of g. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section B, Question 5(d)Question part (d)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 52% of students · official report
d. Write down an equation of the line L in parametric form. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5(e)Question part (e)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 55% of students · official report
e. Find the shortest distance from the origin to the plane ψ. 2 marks 21 2023 SPECMATH EXAM 2 d o n o t w r i t e i n t h i s a r e a TURN OVER
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 5(f)Question part (f)
Source index checked · not an answer check
Working not previously checked
Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 34% of students · official report
f. Find the coordinates of point D. 2 marks 2023 SPECMATH EXAM 2 22 d o n o t w r i t e i n t h i s a r e a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection B, Question 6
Source index checked · not an answer check
Working not previously checked
Estimated difficulty · Medium
Question 6 (9 marks) A forest ranger wishes to investigate the mass of adult male koalas in a Victorian forest. A random sample of 20 such koalas has a sample mean of 11.39 kg. It
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2How to use ClassConnect past exam questions
- Choose a target. Filter by subject, topic, year, sitting or paper.
- Attempt it first. Work under exam conditions before opening the original question.
- Review and repeat. Compare with the official source and examiner report where available; note what to practise next.
Browse without signing in. Topic matches are approximate, not official VCAA tags. Source indexing and difficulty labels do not verify a worked solution. Check current course requirements with your teacher; classconnect is not endorsed by VCAA.
Make practice count
Create a free accountSave your next step
Sign in to save worked questions to My Library. Plus members can build topic-based exam worksheets with separate answer sheets.